Direct Variation Worksheet
Explore direct variation with this Grade 6 math worksheet, featuring questions on identifying, writing, and graphing direct variation equations.
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Standards
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Direct Variation Practice
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where space is provided.
1. Which of the following equations represents a direct variation?
y = x + 5
y = 3x
y = x - 2
y = x / 4 + 1
2. In a direct variation, what happens to 'y' if 'x' is doubled?
y is halved
y remains the same
y is doubled
y is tripled
3. In a direct variation, the ratio of y to x is always a .
4. The equation for direct variation can be written as y = kx, where k is the of variation.
5. If y varies directly with x, and y = 10 when x = 2, write the equation that represents this direct variation.
6. A car travels at a constant speed. The distance (d) it travels varies directly with the time (t) it has been traveling. If the car travels 150 miles in 3 hours, write an equation for the direct variation.
7. Graph the direct variation equation y = 2x on the coordinate plane below.
8. The graph of a direct variation always passes through the origin (0,0).
True
False
9. If y = 5x is a direct variation, then the constant of variation is 1/5.
True
False
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